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Finding the Third Proportional to 112,385 and 240,763

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Solution

The third proportional to 112,385 and 240,763 is: 515,787.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,385 : 240,763 = 240,763 : x
  2. Step 2: Convert to fraction form
    112,385/240,763 = 240,763/x
  3. Step 3: Cross multiply
    112,385x = 240,763 × 240,763
  4. Step 4: Simplify right side
    112,385x = 57,966,822,169
  5. Step 5: Solve for x
    x = 57,966,822,169/112,385
  6. Step 6: Final answer
    x = 515,787.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.